Find the Third Term in a Sequence with Rule n/2

Question

A sequence has the following term-to-term rule:

n2 \frac{n}{2}

What is the the third term?

Video Solution

Solution Steps

00:00 Find the 3rd term
00:03 Substitute the desired term's position in the sequence formula and solve
00:19 And this is the solution to the question

Step-by-Step Solution

The third term in the sequence is the term a3 a_3 meaning in the general term formula given:

an=n2 a_n= \frac{n}{2} We need to substitute the position (of the requested term in the sequence):

n=3 n=3 Let's do this:

an=n2n=3a3=32 a_{\underline{n}}= \frac{\underline{n}}{2} \\ n=\underline{3}\\ \downarrow\\ a_{\underline{3}}=\frac{\underline{3}}{2} When we substituted in place of n the position (of the requested term in the sequence): 3, the substitution is shown with an underline in the expression above,

Therefore, the correct answer is answer C.

Answer

32 \frac{3}{2}